1351306004160 has 448 divisors, whose sum is σ = 5464998650880. Its totient is φ = 275400622080.

The previous prime is 1351306004117. The next prime is 1351306004171. The reversal of 1351306004160 is 614006031531.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1859280 + ... + 2481840.

Almost surely, 2^{1351306004160} is an apocalyptic number.

1351306004160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351306004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732499325440).

1351306004160 is an abundant number, since it is smaller than the sum of its proper divisors (4113692646720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1351306004160 is a wasteful number, since it uses less digits than its factorization.

1351306004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622624 (or 622614 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 1351306004160 in words is "one trillion, three hundred fifty-one billion, three hundred six million, four thousand, one hundred sixty".